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Alina [70]
3 years ago
7

A camera regularly priced at 295 was placed on sale at 236. What percent of the regular price was the sale price?

Mathematics
1 answer:
skad [1K]3 years ago
6 0

Answer:

80%

Step-by-step explanation:

regular price was given as $295.

The sale of the camera was $236.

Needed Percentage of the regular price =( 236/295)

= 0.8

=(0.8 × 100%)

= 80%

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stellarik [79]

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7 0
2 years ago
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
2 years ago
Diane has a hospital appointment. when she arrives at the hospital, the car park is nearly full. there are a total of 534 car pa
Oksanka [162]
In total there are 534 spaces, but 476 are occupied.
Occupied spots cannot be parked in.
The answer is 534 - 476, which equals 58 available spots. 
4 0
3 years ago
3. Solve 2log4y - log4 (5y - 12) = 1/2<br>​
Ilia_Sergeevich [38]

Answer:

y =  4  or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

​2log_4(y) - log_4(5y-12) = log_4(2)           apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2)    apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2)                     remove logarithm

y^2/(5y-12) = 2                                            cross multiply

y^2 = 10y-24                                                  rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

4 0
3 years ago
How do you turn f(x) = 3x 2– 40x + 180 into a graph?
Nuetrik [128]

Answer:

Intersept is (4.55,0)

Step-by-step explanation:

3 0
3 years ago
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